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132400414340 = 225192153161831
BaseRepresentation
bin111101101001110101…
…1011111111010000100
3110122202012201221001122
41323103223133322010
54132124001224330
6140453544213112
712365001644615
oct1732353377204
9418665657048
10132400414340
1151172644a37
12217b076a198
13c6402a6c4c
1465a01d5c0c
15369d96c5e5
hex1ed3adfe84

132400414340 has 48 divisors (see below), whose sum is σ = 292812347520. Its totient is φ = 50149175040.

The previous prime is 132400414327. The next prime is 132400414453. The reversal of 132400414340 is 43414004231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737225 + ... + 899055.

It is an arithmetic number, because the mean of its divisors is an integer number (6100257240).

Almost surely, 2132400414340 is an apocalyptic number.

132400414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132400414340 is an abundant number, since it is smaller than the sum of its proper divisors (160411933180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132400414340 is a wasteful number, since it uses less digits than its factorization.

132400414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164012 (or 164010 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 132400414340 its reverse (43414004231), we get a palindrome (175814418571).

The spelling of 132400414340 in words is "one hundred thirty-two billion, four hundred million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 2153 4306 8612 10765 21530 40907 43060 81814 161831 163628 204535 323662 409070 647324 809155 818140 1618310 3074789 3236620 6149578 12299156 15373945 30747890 61495780 348422143 696844286 1393688572 1742110715 3484221430 6620020717 6968442860 13240041434 26480082868 33100103585 66200207170 132400414340